ABSTRACT
Convex hull pricing (CHP) was proposed to align the unit commitment and economic dispatch of the electricity market's sequential processes, by providing the minimal uplift payment. The implementation of CHP and its variants has generated much attention in both academia and industry. However, the vulnerability of CHP has been rarely assessed due to its complex structure. In this paper, to tackle this challenge, an equivalent form of CHP is identified, which provides valuable economic and structural insights. This equivalent form helps in revealing how generator bidding can influence the CHP. Based on this understanding, a vulnerability index is proposed to evaluate the risk that each generator brings to the CHP scheme. Numerical studies suggest the existence of vulnerability in the CHP and also highlight the complex nature of CHP scheme.
- Mark J Ablowitz, Athanassios S Fokas, and Athanassios S Fokas. 2003. Complex variables: introduction and applications. Cambridge University Press, Cambridge, UK.Google Scholar
- Panagiotis Andrianesis and George Liberopoulos. 2014. Revenue-adequate pricing mechanisms in non-convex electricity markets: A comparative study. In 11th International Conference on the European Energy Market (EEM14). IEEE, Krakow, Poland, 1--5.Google ScholarCross Ref
- Panagiotis Andrianesis, George Liberopoulos, George Kozanidis, and Alex D Papalexopoulos. 2013. Recovery mechanisms in day-ahead electricity markets with non-convexities - Part I: Design and evaluation methodology. IEEE Transactions on Power Systems 28, 2 (2013), 960--968. https://doi.org/10.1109/TPWRS.2012.2207920Google ScholarCross Ref
- Federal Energy Regulatory Commission et al. 2014. Staff analysis of uplift in RTO and ISO markets.Google Scholar
- Antonio J. Conejo and Luis Baringo. 2018. Unit Commitment and Economic Dispatch. Springer International Publishing, Cham, 197--232. https://doi.org/10.1007/978-3-319-69407-8_7Google Scholar
- Pelin Damcι-Kurt, Simge Küçükyavuz, Deepak Rajan, and Alper Atamtürk. 2016. A polyhedral study of production ramping. Mathematical Programming 158, 1-2 (2016), 175--205.Google Scholar
- Feng Zhao Dane A. Schiro, Tongxin Zheng and Eugene Litvinov. 2016. Convex Hull Pricing: Rigorous Analysis and Implementation Challenges. [EB/OL]. https://www.ferc.gov/CalendarFiles/20150619142618-M2-1%20-%20SCKRO%20-%20Schiro_FERC2015.pdf Accessed June 16, 2020.Google Scholar
- A Kumar David and Fushuan Wen. 2001. Market power in electricity supply. IEEE Transactions on Energy Conversion 16, 4 (2001), 352--360.Google ScholarCross Ref
- Falk and James E. 1969. Lagrange Multipliers and Nonconvex Programs. Siam Journal on Control 7, 4 (1969), 534--545.Google ScholarCross Ref
- Paul R Gribik, William W Hogan, Susan L Pope, et al. 2007. Market Clearing Electricity Prices and Energy Uplift., 46 pages.Google Scholar
- Bowen Hua and Ross Baldick. 2016. A convex primal formulation for convex hull pricing. IEEE Transactions on Power Systems 32, 5 (2016), 3814--3823.Google ScholarCross Ref
- Midwest ISO. 2017. Extended LMP phase II: post implementation analysis. [EB/OL]. https://cdn.misoenergy.org Accessed April 22, 2021.Google Scholar
- Mehdi Madani, Carlos Ruiz, Sauleh Siddiqui, and Mathieu Van Vyve. 2018. Convex Hull, IP and European Electricity Pricing in a European Power Exchanges setting with efficient computation of Convex Hull Prices. arXiv:1804.00048 [math.OC]Google Scholar
- Alexander Martin, Johannes C Müller, and Sebastian Pokutta. 2014. Strict linear prices in non-convex European day-ahead electricity markets. Optimization Methods and Software 29, 1 (2014), 189--221.Google ScholarDigital Library
- Somendra PS Mathur, Anoop Arya, and Manisha Dubey. 2017. A review on bidding strategies and market power in a competitive energy market. In 2017 International Conference on Energy, Communication, Data Analytics and Soft Computing (ICECDS). IEEE, Chennai, India, 1370--1375. https://doi.org/10.1109/ICECDS.2017.8389668Google ScholarCross Ref
- LLC Monitoring Analytics. 2019. State of the Market Report for PJM.Google Scholar
- Piotr Pałka. 2017. Derivatives of the nodal prices in market power screening. Energy Economics 64 (2017), 149--157. https://doi.org/10.1016/j.eneco.2017.03.019Google ScholarCross Ref
- Michael Pollitt. 2006. Electricity Market Reform: An International Perspective, Feirdoon P. Sioshansi, Wolfgang Pfaffenberger (Eds.), Elsevier (2006).Google Scholar
- Navid Azizan Ruhi, Krishnamurthy Dvijotham, Niangjun Chen, and Adam Wierman. 2018. Opportunities for Price Manipulation by Aggregators in Electricity Markets. IEEE Transactions on Smart Grid 9, 6 (2018), 5687--5698.Google ScholarCross Ref
- Dane A Schiro, Tongxin Zheng, Feng Zhao, and Eugene Litvinov. 2016. Convex Hull Pricing in Electricity Markets: Formulation, Analysis, and Implementation Challenges. IEEE Transactions on Power Systems 31, 5 (2016), 4068--4075.Google ScholarCross Ref
- Jian Sun, Nan Gu, and Chenye Wu. 2020. Strategic Bidding in Extended Locational Marginal Price Scheme. IEEE Control Systems Letters 5, 1 (2020), 19--24.Google ScholarCross Ref
- Gui Wang, Uday V Shanbhag, Tongxin Zheng, Eugene Litvinov, and Sean Meyn. 2013. An extreme-point subdifferential method for convex hull pricing in energy and reserve markets---Part I: Algorithm structure. IEEE Transactions on Power Systems 28, 3 (2013), 2111--2120.Google ScholarCross Ref
- Michael L. Waskom. 2021. seaborn: statistical data visualization. Journal of Open Source Software 6, 60 (2021), 3021. https://doi.org/10.21105/joss.03021Google ScholarCross Ref
- Chenye Wu, Subhonmesh Bose, Adam Wierman, and Hamed Mohesenian-Rad. 2013. A unifying approach to assessing market power in deregulated electricity markets. In 2013 IEEE Power & Energy Society General Meeting. IEEE, Vancouver, Canada, 1--5.Google Scholar
Index Terms
- Temporal Vulnerability Assessment for Convex Hull Pricing
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